Welcome to our comprehensive collection of free SAT Algebra practice questions designed specifically for the Digital SAT format. The Algebra domain represents a significant portion of the SAT Math section, focusing on critical concepts such as linear equations, linear functions, systems of equations, and linear inequalities.

Why Practice These SAT Algebra Questions?

These carefully crafted practice questions mirror the actual Digital SAT in both difficulty and style. Each question challenges you to apply algebraic concepts in diverse scenarios—from abstract mathematical problems to real-world applications. By mastering these questions, you'll develop the problem-solving skills and algebraic fluency that the SAT rewards.

Our collection includes:

  • Linear equations in one and two variables
  • Linear functions and their applications
  • Systems of linear equations with practical contexts
  • Linear inequalities and their graphical representations

How to Use This Practice Resource?

We recommend attempting each question before viewing the solution. For each problem, we provide:

  • A detailed text solution with step-by-step reasoning
  • Video explanations that walk through the solving process

Challenge yourself with these diverse practice questions to build confidence and proficiency with SAT algebra concepts. Regular practice with these problems will help you identify patterns, develop efficient solving strategies, and ultimately improve your SAT Math score.

Target 1500+ in SAT Join Wizako's SAT Live Online Classes Personalized Attention from US MBA and IIM Graduate Tutors Next Batch Details

SAT Algebra : Linear Equations Practice Questions

  1. 1
    System of 2 Linear Equations in 2 Variables

    A food truck sells hamburgers for $8 each and hot dogs for $5 each. On Saturday, the truck sold a total of 95 items and made $640. How many hamburgers did the truck sell?

    1. 40
    2. 46
    3. 49
    4. 55
    Solution to Question 1
  2. 2
    Linear Equation in 1 Variable

    The equation h(t) = 20 - 4t represents the height h, in meters, of a drone t seconds after it begins descending. At what time t will the drone reach a height of 8 meters?

    1. 2 seconds
    2. 3 seconds
    3. 5 seconds
    4. 20 seconds
    Solution to Question 2
  3. 3
    Rate of Change | Linear Equation in 1 Variable

    Emily deposits $1200 in a savings account and withdraws $75 each month for expenses. The account balance B (in dollars) after n months can be represented by the equation B(n) = 1200 - 75n. After how many months will Emily's account balance be $525?

    1. 8 months
    2. 9 months
    3. 10 months
    4. 16 months
    Solution to Question 3
  4. 4
    Fixed Cost Vs Variable Cost

    Caroline is deciding between two cell phone plans.

    • Plan A costs $45 per month plus $0.05 per text message.

    • Plan B costs $30 per month plus $0.10 per text message.

    For how many text messages will both plans cost the same?

    1. 30
    2. 75
    3. 300
    4. 750
    Solution to Question 4

SAT Algebra : Linear Functions Practice Questions

  1. 5
    Linear Functions | Manufacturing Cost

    The function C(x) = 15x + 200 represents the total cost in dollars to manufacture x skateboards. What is the meaning of the number 15 in this context?

    1. The cost to manufacture an additional skateboard
    2. The fixed overhead cost
    3. The number of skateboards produced
    4. The profit per skateboard
    Solution to Question 5